20362749120 has 336 divisors, whose sum is σ = 80441157888. Its totient is φ = 4631316480.

The previous prime is 20362749067. The next prime is 20362749133. The reversal of 20362749120 is 2194726302.

20362749120 is a `hidden beast` number, since 2 + 0 + 3 + 627 + 4 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4251367 + ... + 4256153.

It is an arithmetic number, because the mean of its divisors is an integer number (239408208).

Almost surely, 2^20362749120 is an apocalyptic number.

20362749120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20362749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40220578944).

20362749120 is an abundant number, since it is smaller than the sum of its proper divisors (60078408768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20362749120 is a wasteful number, since it uses less digits than its factorization.

20362749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20362749120 in words is "twenty billion, three hundred sixty-two million, seven hundred forty-nine thousand, one hundred twenty".